2023/2000: Difference between revisions
m →Pentagoth: fix incorrect generator ratio |
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== Temperaments == | == Temperaments == | ||
Note: groundfault uses extensions that identify the ~20/17~13/11 with ~19/16 and tempering out 209/208; however, this leads to considerable damage to prime 19. | |||
=== Pentagoth === | === Pentagoth === | ||
[[Subgroup]]: 2.5.7.17 | [[Subgroup]]: 2.5.7.17 | ||
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* [[WE]]: ~2 = 1200.566{{c}}, ~5/4 = 387.475{{c}}, ~20/17 = 289.545{{c}} | * [[WE]]: ~2 = 1200.566{{c}}, ~5/4 = 387.475{{c}}, ~20/17 = 289.545{{c}} | ||
: [[error map]]: {{val| +0.566 2.294 -1.127 -4.760}} | : [[error map]]: {{val| +0.566 2.294 -1.127 -4.760}} | ||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~5/4 = 388.049{{c}}, ~ | * [[CWE]]: ~2 = 1200.0000{{c}}, ~5/4 = 388.049{{c}}, ~20/17 = 289.369{{c}} | ||
: error map: {{val| 0.000 1.735 -2.038 -6.275 }} | : error map: {{val| 0.000 1.735 -2.038 -6.275 }} | ||
[[Badness]] (Sintel): 0.509 | [[Badness]] (Sintel): 0.509 | ||
==== 2.5.7.13/11.17 | ==== 2.5.7.13/11.17.23 ==== | ||
[[Subgroup]]: 2.5.7.13/11.17 | [[Subgroup]]: 2.5.7.13/11.17.23 | ||
[[Comma list]]: 221/220, 161/160, 1309/1300 | |||
{{Mapping|legend=2|1 2 2 0 4 5|0 1 1 0 1 0|0 0 2 1 -1 -2}} | |||
[[Optimal tuning]] ([[CWE]]): ~2 = 1\1, ~5/4 = 387.513, ~[[13/11]] = 288.786 | |||
[[ | [[Badness]] (Sintel): 0.191 | ||
[[ | ===== No-3 no-19 23-limit ===== | ||
[[Subgroup]]: 2.5.7.11.13.17.23 | |||
[[Comma list]]: 176/175, 221/220, 161/160, 1309/1300 | |||
[[ | |||
{{Mapping|legend=2|1 2 2 2 2 4 5|0 1 1 3 3 1 0|0 0 2 2 3 -1 -2}} | |||
[[Optimal tuning]] ([[CWE]]): ~2 = 1\1, ~5/4 = 390.453, ~[[13/11]] = 288.844 | |||
[[ | [[Badness]] (Sintel): 0.497 | ||
=== Pentagoth clan === | === Pentagoth clan === | ||
Rank-2 temperaments supporting pentagoth | Rank-2 temperaments supporting pentagoth | ||
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[[Category:Pentagoth]] | [[Category:Pentagoth]] | ||
[[Category:Rank 2]] | |||